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Finding the Third Proportional to 563,924 and 1,215,866

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Solution

The third proportional to 563,924 and 1,215,866 is: 2,621,505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,924 : 1,215,866 = 1,215,866 : x
  2. Step 2: Convert to fraction form
    563,924/1,215,866 = 1,215,866/x
  3. Step 3: Cross multiply
    563,924x = 1,215,866 × 1,215,866
  4. Step 4: Simplify right side
    563,924x = 1,478,330,129,956
  5. Step 5: Solve for x
    x = 1,478,330,129,956/563,924
  6. Step 6: Final answer
    x = 2,621,505.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.